Q: What are the factor combinations of the number 5,317,015?

 A:
Positive:   1 x 53170155 x 106340311 x 48336555 x 96673277 x 19195349 x 152351385 x 38391745 x 3047
Negative: -1 x -5317015-5 x -1063403-11 x -483365-55 x -96673-277 x -19195-349 x -15235-1385 x -3839-1745 x -3047


How do I find the factor combinations of the number 5,317,015?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 5,317,015, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 5,317,015
-1 -5,317,015

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,317,015.

Example:
1 x 5,317,015 = 5,317,015
and
-1 x -5,317,015 = 5,317,015
Notice both answers equal 5,317,015

With that explanation out of the way, let's continue. Next, we take the number 5,317,015 and divide it by 2:

5,317,015 ÷ 2 = 2,658,507.5

If the quotient is a whole number, then 2 and 2,658,507.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,317,015
-1 -5,317,015

Now, we try dividing 5,317,015 by 3:

5,317,015 ÷ 3 = 1,772,338.3333

If the quotient is a whole number, then 3 and 1,772,338.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,317,015
-1 -5,317,015

Let's try dividing by 4:

5,317,015 ÷ 4 = 1,329,253.75

If the quotient is a whole number, then 4 and 1,329,253.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 5,317,015
-1 5,317,015
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1511552773491,3851,7453,0473,83915,23519,19596,673483,3651,063,4035,317,015
-1-5-11-55-277-349-1,385-1,745-3,047-3,839-15,235-19,195-96,673-483,365-1,063,403-5,317,015

More Examples

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